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Finding the Fourth Proportional to 287.67, 397.09 and 199.60

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Solution

The fourth proportional to 287.67, 397.09 and 199.60 is: 275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.67 : 397.09 = 199.60 : x
  2. Step 2: Convert to fraction form
    287.67/397.09 = 199.60/x
  3. Step 3: Cross multiply
    287.67x = 397.09 × 199.60
  4. Step 4: Simplify right side
    287.67x = 79,257.30
  5. Step 5: Solve for x
    x = 79,257.30/287.67
  6. Step 6: Final answer
    x = 275.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.